RESONANCE ENERGY TRANSFERS IN THE INDUCTION PHENOMENON IN QUARTIC FERMI-PASTA-ULAM CHAINS

Authors
CHRISTIE G HENRY BI
Citation
G. Christie et Bi. Henry, RESONANCE ENERGY TRANSFERS IN THE INDUCTION PHENOMENON IN QUARTIC FERMI-PASTA-ULAM CHAINS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(3), 1998, pp. 3045-3054
Citations number
13
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
58
Issue
3
Year of publication
1998
Part
A
Pages
3045 - 3054
Database
ISI
SICI code
1063-651X(1998)58:3<3045:RETITI>2.0.ZU;2-G
Abstract
We have reexamined the induction phenomenon in quartic Fermi-Pasta-Ula m chains whereby an initially excited harmonic mode transfers energy a pparently abruptly to other harmonic modes after the elapse of an init ial induction time. The previous explanation for this phenomenon using the Mathieu function stability analysis is shown to be unsatisfactory . An analysis using a shifted frequency perturbation scheme and the an alysis of mode resonances correctly identifies the initial pattern of mode excitation and the dominant modes in the induction phenomenon.